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Classification of subfactors: the reduction to commuting squares

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References

  • [C] Connes, A.: Classification of injective factors. Ann. Math.104, 73–115 (1976)

    Google Scholar 

  • [J1] Jones, V.F.R.: Index for subfactors. Invent. Math.72, 1–25 (1983)

    Google Scholar 

  • [J2] Jones, V.F.R.: Subfactors and related topics, Operator Algebras and Applications, Vol. 2, London Math. Soc. Lect. Note Series136, 103–118 (1988)

    Google Scholar 

  • [J3] Jones, V.F.R.: Actions of finite groups on the hyperfinite II1 factor. Mem. Am. Math. Soc.28, No. 237, (1980)

    Google Scholar 

  • [JPP] Jones, V., Pimsner, M., Popa, S.: Private correspondence, 1982–1984

  • [GHJ] Goodman, F., de la Harpe, P., Jones, V.F.R.: Coxeter graphs and towers of algebras. MSRI Publications 14, Springer Verlag, 1989

  • [MvN] Murray, F., von Neumann, J.: Rings of operators IV. Ann. Math.44, 716–808 (1943)

    Google Scholar 

  • [Oc] Ocneanu, A.: Quantized groups string algebras and Galois theory for algebras. Operator Algebras and Applications, Vol. 2, London Math. Soc. Lect. Note Series136, 119–172 (1988)

    Google Scholar 

  • [PiPo1] Pimsner, M., Popa, S.: Entropy and index for subfactors. Ann. Sci. Ec Norm. Super., IV. Ser.19, 57–106 (1986)

    Google Scholar 

  • [PiPo2] Pimsner, M., Popa, S.: Iterating the basic construction. Trans. Am. Math. Soc.,310, 127–134 (1988)

    Google Scholar 

  • [PiPo3] Pimsner, M. Popa, S.: Finite dimensional approximation of pairs of algebras and obstructions for the index. Preprint 1988

  • [Po1] Popa, S.: Maximal injective subalgebras in factors associated with free groups. Adv. Math.50, 27–48 (1983)

    Google Scholar 

  • [Po2] Popa, S.: Relative dimension, towers of projections and commuting squares of subfactors. Pac. J. Math.137, 95–122 (1989)

    Google Scholar 

  • [Po3] Popa, S.: Matrices entiéres et algébres envelopantes associées aux sousfacteurs. Preprint 1990

  • [Po4] Popa, S.: On a problem of R. V. Kadison on maximal abelian *-subalgebras in factors. Invent. Math. 65 269–281 (1981)

    Google Scholar 

  • [Wa] Wassermann, A.: Coactions and Yang-Baxter equations for ergodic actions and subfactors. Operator Algebras and Applications Vol. 2, London Math. Soc. Lect. Note Series136, 203–236 (1988)

    Google Scholar 

  • [W] Wenzl, H.: Hecke algebras of typeA n and subfactors. Invent. Math.92, 349–383 (1988)

    Google Scholar 

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Oblatum 1-VII-1989

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Popa, S. Classification of subfactors: the reduction to commuting squares. Invent Math 101, 19–43 (1990). https://doi.org/10.1007/BF01231494

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